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DY: Fachverband Dynamik und Statistische Physik

DY 2: Nonequilibrium Quantum Systems (joint session TT/DY)

DY 2.5: Vortrag

Montag, 17. März 2025, 10:30–10:45, H31

An attempt to extend the adiabatic theorem — •Sarah Damerow^1,2 and Stefan Kehrein¹ — ¹Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen — ²I. Institut für Theoretische Physik, Universität Hamburg, Notkestraße 9-11, 22607 Hamburg

A conjectured extension of the adiabatic theorem to quantum quenches, i.e., maximally non-adiabatic changes, is presented.The proposed extension is framed as follows: ``as long as quenched states within the same magnetic phase are concerned, the overlap between the initial and final ground states is the largest possible.'' This conjecture is investigated analytically and is tested numerically using Exact Diagonalisation in two models: the Transverse Field Ising Model (TFIM) and the Axial Next Nearest Neighbour Ising Model (ANNNI).

Keywords: Adiabatic Theorem; Transverse Field Ising Model (TFIM); ANNNI model; overlap; ground state